Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 119, 551, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 551, 21 is 1
GCD(119, 551, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 551, 21 is 1
GCD(119, 551, 21) = 1
Given Input numbers are 119, 551, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 119, 551, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 551, 21 is 1.
Therefore, GCD of numbers 119, 551, 21 is 1
Given Input Data is 119, 551, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 551 is 19 x 29
Prime Factorization of 21 is 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(119, 551) = 65569
GCD(119, 551) = ( 119 x 551 ) / 65569
GCD(119, 551) = 65569 / 65569
GCD(119, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
GCD of 119, 551, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 551, 21?
GCD of 119, 551, 21 is 1
2. Where do I get the detailed procedure to find GCD of 119, 551, 21?
You can find a detailed procedure to find GCD of 119, 551, 21 on our page.
3. How to find GCD of 119, 551, 21 on a calculator?
You can find the GCD of 119, 551, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.